Abstract
In this paper, we propose a queueing model for a multi-product production system in which the manufacturing environments are changing over time between some predetermined states. We model this system by the discrete-time Markovian Arrival Stream (MAS) and derive the mean level of WIP (work-in-process) inventory. A numerical example is presented.
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References
Asmussen, S., Koole, G.: Marked point processes as limits of Markovian arrival streams. J. Appl. Prob. 30, 365–372 (1993)
He, Q.M.: Queues with marked customer. Adv. Appl. Prob. 28, 567–587 (1996)
He, Q.M., Alfa, A.S.: The MMAP[K]/PH[K]/1 queues with a last-come -firstserved preemptive service discipline. Queueing Systems 29, 269–291 (1998)
He, Q.M., Neuts, M.F.: Markov chains with marked transitions. Stochastic Process. Appl. 74, 37–52 (1998)
Lucantoni, D.M., Meier-Hellstern, K.S., Neuts, M.F.: A single server queue with server vacations and a class of non-renewal arrival processes. Adv. Appl. Prob. 22, 676–709 (1990)
Masuyama, H., Takine, T.: Analysis of an infinite-server queue with batch Markovian arrival streams. Queueing Systems 42(3), 269–296 (2002)
Masuyama, H., Takine, T.: Analysis and Computation of the Joint Queue Length Distribution in a FIFO Single-Server Queue with Multiple Batch Markovian Arrival Streams. Stochastic Models 19(3), 349–381 (2003)
Masuyama, H., Takine, T.: Stationary Queue Length in a FIFO Single-Server Queue with Service Interruptions and Multiple Batch Markovian Arrival Streams. Journal of the Operations Research Society of Japan 46(3), 319–341 (2003)
Noh, S.H., Choi, B.D.: Discrete time queues with Markovian arrival streams and state-dependent service times. IEICE Trans. Commun. E86-B(6), 1884–1892 (2003)
Takagi, H.: Queueing Analysis: Discrete-Time Systems, vol. 3. North-Holland, Amsterdam (1993)
Takine, T.: A recent progress in algorithmic analysis of FIFO queues with Markovian arrival streams. J. Korean Math. Soc. 38(4), 807–842 (2001)
Takine, T.: Queue length distribution in a FIFO single-server queue with multiple arrival streams having different service distributions. Queueing Systems 39, 349–375 (2001)
Takine, T.: Distribution form of Little’s law for FIFO queues with multiple arrival streams and its application to queue with vacations. Queueing Systems 37, 31–63 (2001)
Takine, T.: Subexponential asymptotics of the waiting time distribution in a singleserver queue with multiple Markovian arrival streams. Stochastic Models 17(4), 429–448 (2001)
Takine, T.: Matrix product-form solution for an LCFS-PR single-server queue with multiple arrival streams governed by a Markov chain. Queueing Systems 42(2), 131–151 (2002)
Takine, T., Hasegawa, T.: The workload in the MAP/G/1 queue with statedependent services: its application to a queue with preemptive resume priority. Stochastic Models 10(1), 183–204 (1994)
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Lee, H.W., Kim, T.H. (2005). A Queueing Model for Multi-product Production System Under Varying Manufacturing Environment. In: Gervasi, O., et al. Computational Science and Its Applications – ICCSA 2005. ICCSA 2005. Lecture Notes in Computer Science, vol 3483. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11424925_54
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DOI: https://doi.org/10.1007/11424925_54
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25863-6
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